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Finding the Fourth Proportional to 944.64, 1,417.79 and 458.05

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Solution

The fourth proportional to 944.64, 1,417.79 and 458.05 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.64 : 1,417.79 = 458.05 : x
  2. Step 2: Convert to fraction form
    944.64/1,417.79 = 458.05/x
  3. Step 3: Cross multiply
    944.64x = 1,417.79 × 458.05
  4. Step 4: Simplify right side
    944.64x = 649,418.71
  5. Step 5: Solve for x
    x = 649,418.71/944.64
  6. Step 6: Final answer
    x = 687.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.